1013144220224 has 56 divisors (see below), whose sum is σ = 2045244880800. Its totient is φ = 497812904960.

The previous prime is 1013144220157. The next prime is 1013144220241. The reversal of 1013144220224 is 4220224413101.

It is a super-2 number, since 2×1013144220224² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013144220193 and 1013144220202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11165759 + ... + 11256129.

Almost surely, 2^{1013144220224} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013144220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1022622440400).

1013144220224 is an abundant number, since it is smaller than the sum of its proper divisors (1032100660576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1013144220224 is an equidigital number, since it uses as much as digits as its factorization.

1013144220224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93411 (or 93401 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 1013144220224 its reverse (4220224413101), we get a palindrome (5233368633325).

The spelling of 1013144220224 in words is "one trillion, thirteen billion, one hundred forty-four million, two hundred twenty thousand, two hundred twenty-four".